Show commands:
SageMath
E = EllipticCurve("dk1")
E.isogeny_class()
Elliptic curves in class 37440.dk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37440.dk1 | 37440r1 | \([0, 0, 0, 60048, -147043296]\) | \(74251994112/29007265625\) | \(-9354444952320000000\) | \([]\) | \(645120\) | \(2.3193\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37440.dk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37440.dk do not have complex multiplication.Modular form 37440.2.a.dk
sage: E.q_eigenform(10)